Prime p₀= 780977284862845589 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 46 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 120 122 162 164 192 194
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 194
Found by: [SG]steini
db: batch=73, k=12, 2 28 2 40 2 46

SPT(16)	780976320763487297	0 42 50 120 152 182 210 212 402 404 432 462 494 564 572 614	-964099358292
SPT(16)	780976453588698701	0 8 12 92 98 110 132 180 218 266 288 300 306 386 390 398	-831274146888
STPT(10)	780976664322928817	0 2 42 44 72 74 102 104 144 146	-620539916772
STPT(10)	780977129649882689	0 2 18 20 30 32 42 44 60 62	-155212962900
SPT(16)	780977152884894299	0 8 42 50 68 80 98 110 132 144 162 174 192 200 234 242	-131977951290
SPT(16)	780977260714054403	0 30 44 90 108 116 194 200 264 270 348 356 374 420 434 464	-24148791186
STPT(10)	780978113633606387	0 2 42 44 72 74 102 104 144 146	828770760798
SPT(16)	780978854588432917	0 6 16 40 84 102 124 126 130 132 154 172 216 240 250 256	1569725587328
SPT(16)	780979147206510919	0 10 24 30 64 72 78 154 228 304 310 318 352 358 372 382	1862343665330
SPT(16)	780979383421161371	0 12 32 56 80 156 212 252 350 390 446 522 546 570 590 602	2098558315782
SPT(16)	780979522789007909	0 12 14 24 42 54 164 170 174 180 290 302 320 330 332 344	2237926162320